有理数a,b满足|ab-2|+(1-b)2=0,试求1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+…+1/(a+2008)(b+2008)的值.解|ab-2|+(1-b)²-0∵|ab-2|≥0,(1-b)²≥0∴ab-2=0,1-b=0∴a=2,b=1∴1/ab+1/(a+1)(b+1)+1/(a+2)(b+2)+…+1/(...